13837716480 has 704 divisors, whose sum is σ = 53746818048. Its totient is φ = 2972712960.

The previous prime is 13837716461. The next prime is 13837716499. The reversal of 13837716480 is 8461773831.

It is an interprime number because it is at equal distance from previous prime (13837716461) and next prime (13837716499).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189557724 + ... + 189557796.

It is an arithmetic number, because the mean of its divisors is an integer number (76344912).

Almost surely, 2^13837716480 is an apocalyptic number.

13837716480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13837716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26873409024).

13837716480 is an abundant number, since it is smaller than the sum of its proper divisors (39909101568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13837716480 is a wasteful number, since it uses less digits than its factorization.

13837716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 13837716480 in words is "thirteen billion, eight hundred thirty-seven million, seven hundred sixteen thousand, four hundred eighty".